Question 1081393
log4[log4(2x)]=1

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I assume you want to solve for x.   In the future you should clearly ask your question. 

{{{ log(4,(log(4,(2x))))=1 }}}

Raise 4 to both sides:
{{{ 4^log(4,(log(4,(2x)))) = 4^1 }}}
This simplifies to:
{{{ log(4,(2x)) = 4 }}}
Again, raise 4 to both sides:
{{{ 4^log(4,(2x)) = 4^4 }}}
This simplifies to:
{{{  2x = 256 }}}
{{{  x = highlight(128) }}}

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Check:  {{{log(4, (log(4,(2*128)))) = log(4, (4)) = 1 }}}